From acd0c905ad7ceeee9dd92cb856a4e74e95b97677 Mon Sep 17 00:00:00 2001
From: Warrick Lo <warrick.s.z.lo@gmail.com>
Date: Wed, 11 Feb 2026 09:44:39 -0800
Subject: Finish Task 2C

Signed-off-by: Warrick Lo <warrick.s.z.lo@gmail.com>
---
 master.tex | 26 +++++++++++++-------------
 1 file changed, 13 insertions(+), 13 deletions(-)

(limited to 'master.tex')

diff --git a/master.tex b/master.tex
index c3547a6..a175da0 100644
--- a/master.tex
+++ b/master.tex
@@ -355,8 +355,6 @@ and thus,
 
 \section*{Task 2C. Two-Wattmeter Measurement Method with Delta-Connected RL Load Box}
 
-% Need to redo.
-
 \begin{table}[H]
 	\centering
 	\begin{tabular}{l*{7}{c}}
@@ -365,10 +363,10 @@ and thus,
 		\cmidrule(lr){2-3} \cmidrule(lr){4-5} \cmidrule(l){6-8}
 		\multicolumn{1}{c}{Measurement} & $V \angle \phi_v$ (\si{\V}) & $I \angle \phi_i$ (\si{\A}) & $V \angle \phi_v$ (\si{\V}) & $I \angle \phi_i$ (\si{\A}) & $P_1$ (\si{\W}) & $P_2$ (\si{\W}) & $P_\text{total}$ (\si{\W}) \\
 		\midrule
-		RL balanced load & 10.17 $\angle$ 4.5 & 0.27 $\angle$ -46.3 & 10.15 $\angle$ -238.0 & 0.29 $\angle$ 73.3 & 1.8 & 1.9 & 5.6 \\[0.5em]
-		RL unbalanced load, & 10.06 $\angle$ 4.4 & 0.38 $\angle$ -80.0 & 12.91 $\angle$ -251.8 & 0.39 $\angle$ 60.8 & 0.4 & 3.3 & 5.2 \\
+		RL balanced load & 17.34 $\angle$ -0.7 & 0.94 $\angle$ -76.2 & 17.58 $\angle$ 59.4 & 0.96 $\angle$ 42.6 & 4.1 & 15.6 & 19.8 \\[0.5em]
+		RL unbalanced load, & 17.41 $\angle$ -0.7 & 0.94 $\angle$ -110.3 & 17.53 $\angle$ 59.5 & 1.40 $\angle$ 25.7 & -5.5 & 19.7 & 14.2 \\
 		\; shorted resistor \\[0.5em]
-		RL unbalanced load, & 8.8 $\angle$ 0.9 & 0.45 $\angle$ 0.6 & 9.15 $\angle$ -199.3 & 0.26 $\angle$ -247.8 & 4.1 & 1.6 & 9.9 \\
+		RL unbalanced load, & 17.37 $\angle$ -0.6 & 1.42 $\angle$ -55.6 & 17.67 $\angle$ 59.1 & 0.92 $\angle$ 81.8 & 14.3 & 14.5 & 28.7 \\
 		\; shorted inductor \\
 		\bottomrule
 	\end{tabular}
@@ -377,8 +375,10 @@ and thus,
 \end{table}
 
 \begin{itemize}
-	\item \textbf{The load circuit in Task 2B and Task 2C is identical in each step. Compare the measurements of currents and voltages of Task 2B and Task 2C. Explain the results.}
-	\item \textbf{Compare the measurements of the real power of Task 2B and Task 2C. Explain the results.}
+	\item \textbf{The load circuit in Task 2B and Task 2C is identical in each step. Compare the measurements of currents and voltages of Task 2B and Task 2C. Explain the results.} \\
+		The voltages measured here are greater compared to Task 2B because we are measuring the line-to-line voltage, as opposed to the phase voltage like what was done previously. As the line and phase voltages are related to each other by $V_\text{line} = \sqrt{3} V_\text{phase} \angle \ang{30}$, the voltage supply is giving the same output voltage in both Task 2B and Task 2C (as $\sqrt{3} \cdot \qty{10}{\V} \cong \qty{17.32}{\V}$). We also see this through our measurement of the current; the magnitude remains relatively unchanged from Task 2B to Task 2C, while the current shows a \ang{-30}  phase shift because of the change in our reference (the angle of $V_1$).
+	\item \textbf{Compare the measurements of the real power of Task 2B and Task 2C. Explain the results.} \\
+		The total real power remains relatively the same, as expected, since no part of the physical circuit changed. We see that when the resistor is shorted (the load is purely inductive), $P_1$ is negative. This can be explained by the power factor angle being more than \ang{90}, which will make the power, given by $P = V_\text{line} I_\text{phase} \cos\phi$, negative.
 \end{itemize}
 
 \newpage
@@ -600,36 +600,36 @@ and thus,
 
 \begin{figure}
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-1-wave.png}
+		\includegraphics[width=\linewidth]{images/2c-1-wave.png}
 		\caption{Waveform of circuit with RL balanced load.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-1-phasor.png}
+		\includegraphics[width=\linewidth]{images/2c-1-phasor.png}
 		\caption{Phasor view of circuit with RL balanced load.}
 	\end{subfigure}
 
 	\medskip
 
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-2-wave.png}
+		\includegraphics[width=\linewidth]{images/2c-2-wave.png}
 		\caption{Waveform of circuit with RL unbalanced load, shorted resistor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-2-phasor.png}
+		\includegraphics[width=\linewidth]{images/2c-2-phasor.png}
 		\caption{Phasor view of circuit with RL unbalanced load, shorted resistor.}
 	\end{subfigure}
 
 	\medskip
 
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-3-wave.png}
+		\includegraphics[width=\linewidth]{images/2c-3-wave.png}
 		\caption{Waveform of circuit with RL unbalanced load, shorted inductor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
-		\includegraphics[width=\linewidth]{images/2a-3-phasor.png}
+		\includegraphics[width=\linewidth]{images/2c-3-phasor.png}
 		\caption{Phasor view of circuit with RL unbalanced load, shorted inductor.}
 	\end{subfigure}
 
-- 
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